Fachbereich Mathematik 
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Please note: I have moved to Oldenburg.


Jan Steffen Müller


Research interests

  • Computational number theory
  • Arithmetic Geometry


Preprints and publications

Note that the pdf files are preprint versions which may differ from the published versions.

Canonical heights and division polynomials (with Robin de Jong),
  Preprint (2013), submitted.
[pdf] [arXiv] [Magma-Code]
p-adic height pairings and integral points on hyperelliptic curves (with Jen Balakrishnan and Amnon Besser),
  Preprint (2013), submitted.
[pdf] [arXiv]
Explicit Kummer varieties of hyperelliptic Jacobian threefolds,
  Preprint (2012), submitted.
[pdf] [arXiv] [Magma-Code]
A height inequality for rational points on elliptic curves implied by the abc-conjecture (with Ulf Kühn),
  Preprint (2012), submitted.
[pdf] [arXiv]
A p-adic analogue of the conjecture of Birch and Swinnerton-Dyer for modular abelian varieties (with Jen Balakrishnan and William Stein),
  Preprint (2012), submitted.
[pdf] [arXiv]
Lower bounds on the arithmetic self-intersection number of the relative dualizing sheaf on arithmetic surfaces (with Ulf Kühn),
  Preprint (2012), submitted.
[pdf] [arXiv]
Computing canonical heights using arithmetic intersection theory,
  Math. Comp. 83, 311-336 (2014).
[pdf] [arXiv] [Magma-Code]
Local heights on elliptic curves and intersection multiplicities (with Vincenz Busch),
  Int. J. Number Theory 8, No. 6, 1477-1484 (2012).
[pdf] [arXiv]
Explicit Kummer surface formulas for arbitrary characteristic,
  LMS J. Comput. Math. 13, 47-64 (2010).
[pdf] [arXiv]


Talk slides

p-adic heights and integral points on hyperelliptic curves
 
Heights and Moduli spaces , June 2013, Lorentz Center, University of Leiden
[pdf]
p-adic heights and integral points on hyperelliptic curves
 
Rational Points - Geometric, Analytic and Explicit Approaches , May 2013, University of Warwick
[pdf]
A p-adic analogue of the conjecture of Birch and Swinnerton-Dyer for modular abelian varieties
  Arithmetic Geometry Seminar, November 2012, Humboldt Universität zu Berlin
[pdf]
A p-adic analogue of the conjecture of Birch and Swinnerton-Dyer for modular abelian varieties
  Arithmetic of L-functions, October 2012, University of Bristol
[pdf]
A p-adic analogue of the conjecture of Birch and Swinnerton-Dyer for modular abelian varieties
  Rational points on curves: A p-adic and computational perspective, September 2012, Oxford University
[pdf]
Computing canonical heights using arithmetic intersection theory
  Séminaire de Cryptographie de Rennes, December 2011, Université Rennes I
[pdf]
Algorithmische Aspekte der Vermutung von Birch und Swinnerton-Dyer (in German)
  Oberseminar Algebraische Geometrie, June 2011, LMU München
[pdf]
Arithmetik von Kummer Varietäten (in German)
  Oberseminar Algebra, February 2011, Universität Oldenburg
[pdf]
Computing canonical heights on Jacobians
  Rational points: Theory & Experiment, Workshop, May 2010, ETH Zürich
[pdf]
Explicit Kummer surface theory for arbitrary characteristic
  Rational points on curves and higher-dimensional varieties, June 2009, University of Warwick
[pdf]
For further talks see my cv.


Code


Teaching


Conferences

Together with Yue Ren, I organized the Summer School in Algorithmic Mathematics 2013 which took place from September 2 to September 6 in Hamburg.



 
  Seitenanfang  Impress 2014-02-26, Jan Steffen Müller